3.1-3.2 – Problem SolvingObjectives:• Define variables of a word problem • Solve word problems using systems of linear equations

Steps for Solving Word Problems

1. Define variables2. Write the system of equations3. Solve the system by using

substitution or linear combination4. State your solution

Steps for Solving Word Problems1) Define variables:

2) System of equations:

3) Solve the system:

3) State your solution:

Example 11. OHS students are selling tickets for the

upcoming school play and collect a total of $490. Admission prices are $6 for adults and $4 for children. The students sold 94 tickets. How many adult and child tickets were sold?

Example 11) Define variables:

2) System of equations:

3) Solve the system:

3) State your solution:

Example 22. Mr. V’s family went to a restaurant for

dinner. There are 6 people in his family (including Nike, of course). Some order the chicken dinner for $14.80 and some order the steak dinner for $17. If the total bill was $91, how many people ordered each type of dinner?

Example 21) Define variables:

2) System of equations:

3) Solve the system:

3) State your solution:

Example 33. After teaching an outstanding Algebra 2

lesson, the students in Mr. V’s class decided to tip him some money before they left. There are 22 students in his Algebra 2 class. Each male gave Mr. V $2.50 and each female gave him $1.75. If Mr. V made $43.00 total, how many males and females are in his Algebra 2 class?

Example 31) Define variables:

2) System of equations:

3) Solve the system:

3) State your solution:

Homework3.1-3.2 Problem Solving Worksheet• Show your work on a separate sheet of paper

Quiz 3.1-3.2 on Friday, October 12th